Reducing level of detail of a polygon mesh to decrease a complexity of rendered geometry within a scene

ABSTRACT

A method, computer readable medium, and system are disclosed for overlaying a cell onto a polygon meshlet. The polygon meshlet may include a grouping of multiple geometric shapes such as triangles, and the cell may include a square-shaped boundary. Additionally, every polygon (e.g., a triangle or other geometric shape) within the polygon meshlet that has at least one edge fully inside the cell is removed to create an intermediate meshlet. A selected vertex is determined from all vertices (e.g., line intersections) of the intermediate meshlet that are located within the cell, based on one or more criteria, and all the vertices of the intermediate meshlet that are located within the cell are replaced with the selected vertex to create a modified meshlet. The modified meshlet is then rendered (e.g., as part of a process to generate a scene to be viewed).

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation application of U.S. patentapplication Ser. No. 16/179,597, filed Nov. 2, 2018, which is herebyincorporated by reference in its entirety.

FIELD OF THE INVENTION

The present invention relates to rendering geometry, and moreparticularly to performing grid-guided level of detail adjustments.

BACKGROUND

Performing level of detail adjustments includes decreasing thecomplexity of rendered geometry within a scene as the geometry movesaway from a viewer, or according to other metrics (e.g., geometryimportance, viewpoint-relative speed or position, etc.). This is usefulwhen rendering a scene, as polygon meshes close to a predeterminedviewpoint may have high detail, while polygon meshes further from theviewpoint may not need as much detail. However, current methods forperforming level of detail adjustments are difficult to implement andare not easily parallelizable. There is therefore a need for addressingthese issues and/or other issues associated with the prior art.

SUMMARY

A method, computer readable medium, and system are disclosed foroverlaying a cell onto a polygon meshlet, where the polygon meshlet mayinclude a connected subset of a larger triangle mesh. The polygonmeshlet may include a grouping of multiple geometric shapes such astriangles, and the cell may include a square-shaped boundary.Additionally, every polygon (e.g., a triangle or other geometric shape)within the polygon meshlet that has at least one edge fully inside thecell is removed to create an intermediate meshlet. A selected vertex isdetermined from all vertices (e.g., line intersections) of theintermediate meshlet that are located within the cell, based on one ormore criteria, and all the vertices of the intermediate meshlet that arelocated within the cell are replaced with the selected vertex to createa modified meshlet. The modified meshlet is then rendered (e.g., as partof a process to generate a scene to be viewed).

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 illustrates a flowchart of a method for reducing a level ofdetail of a polygon mesh, in accordance with an embodiment.

FIG. 2 illustrates a parallel processing unit, in accordance with anembodiment.

FIG. 3A illustrates a general processing cluster within the parallelprocessing unit of FIG. 2 , in accordance with an embodiment.

FIG. 3B illustrates a memory partition unit of the parallel processingunit of FIG. 2 , in accordance with an embodiment.

FIG. 4A illustrates the streaming multi-processor of FIG. 3A, inaccordance with an embodiment.

FIG. 4B is a conceptual diagram of a processing system implemented usingthe PPU of FIG. 2 , in accordance with an embodiment.

FIG. 4C illustrates an exemplary system in which the variousarchitecture and/or functionality of the various previous embodimentsmay be implemented.

FIG. 5 is a conceptual diagram of a graphics processing pipelineimplemented by the PPU of FIG. 2 , in accordance with an embodiment.

FIG. 6 illustrates an exemplary polygon meshlet simplification process,in accordance with one embodiment.

FIG. 7 illustrates an exemplary labelled polygon meshlet simplificationprocess, in accordance with one embodiment.

FIG. 8 illustrates an exemplary polygon meshlet simplification processfor a cell placed along a border of a polygon meshlet, in accordancewith one embodiment.

FIG. 9 illustrates a sequential geomorphing of a meshlet, in accordancewith one embodiment.

FIG. 10 illustrates an exemplary parallel application of polygon meshletsimplification, in accordance with one embodiment.

FIG. 11 illustrates an exemplary hole triangulation process, inaccordance with one embodiment.

FIG. 12 illustrates an exemplary non-convex hole triangulation process,in accordance with one embodiment.

DETAILED DESCRIPTION

One way to reduce the work needed to depict a computer-drawn (or“rendered”) scene (e.g., for video gaming or virtual reality) is toreduce the amount of detail depicted for objects that are further awayfrom the viewer. These objects are made up of groupings of geometricshapes, such as triangles—these groupings are referred to as “polygonmeshes.” However, changing the level of detail of these objects is adifficult operation, especially when there are many objects within ascene. In response to this problem, a grid (such as a grouping ofsquare-shaped boxes or cells) may be overlaid onto the groupings ofgeometrical shapes, and edges of the geometrical shapes may be removedand rearranged based on their location inside or outside the boxes ofthe grid. This may simplify a layout of the geometrical shapes, whichmay in turn reduce an amount of effort needed to render the geometricalshapes.

FIG. 1 illustrates a flowchart of a method 100 for reducing a level ofdetail of a polygon mesh, in accordance with an embodiment. Althoughmethod 100 is described in the context of a processing unit, the method100 may also be performed by a program, custom circuitry, or by acombination of custom circuitry and a program. For example, the method100 may be executed by a GPU (graphics processing unit), CPU (centralprocessing unit), or any processor capable of performing parallel pathspace filtering by hashing. Furthermore, persons of ordinary skill inthe art will understand that any system that performs method 100 iswithin the scope and spirit of embodiments of the present invention.

As shown in operation 102, a cell is overlaid onto a polygon meshlet. Inone embodiment, a mesh may include a grouping of a geometric shapes(such as triangles, etc.), and a meshlet may include a portion of thegrouping of geometric shapes (e.g., a connected subset of the grouping,etc.). For example, a meshlet may include a sufficiently small part of alarger polygonal mesh that specifically contains all polygons ortriangles that intersect a 2D or 3D grid cell). In another embodiment,the polygon meshlet may include a portion of a larger mesh model. Inanother embodiment, the mesh model may include a collection of vertices,edges and faces that defines the shape of an object to be rendered.

Additionally, in one embodiment, the polygon meshlet may include aplurality of convex polygons, such as triangles, etc. For example, thepositions (e.g., 3D or 2D positions, etc.) of the vertices within themeshlet may be stored within a first buffer (e.g., a vertex buffer,etc.). In another example, indices pointing to the vertices representingeach triangle/polygon within the meshlet may be stored within a secondbuffer (e.g., an index buffer, etc.). For instance, each polygon may berepresented as an offset pointing to a position within the index buffer,where the offset points to the start of a set of indices of verticesrepresenting the polygon.

Further, in one embodiment, the polygon meshlet may be represented inthree dimensions, two dimensions (e.g. where the polygon meshlet is usedto simplify the projected 2D vertices of a 3D object), etc. In anotherembodiment, the polygon meshlet may be managed by a hardware block thatdeals with sufficiently small (meshlet) portions of a larger mesh. Inyet another embodiment, the cell may be one of a plurality of cells. Forexample, the cell may be one portion of a larger grid that overlays alarger part or all of the mesh model. In another example, each cellwithin the grid may have a predetermined dimension (e.g., in the 2Dcase, one pixel, etc.). For instance, the cell may include asquare-shaped boundary representative of a pixel.

Further still, in one embodiment, the cell may be two dimensional orthree dimensional. For example, the dimensionality of the cell may matchthe dimensionality of the domain the meshlet is currently viewed at.

Also, as shown in operation 104, every polygon within the polygonmeshlet that has at least one edge fully inside the cell is discarded tocreate an intermediate meshlet. For example, if the polygon meshletincludes a plurality of triangles, every triangle that has at least oneedge fully inside the cell may be discarded from the meshlet.

In addition, as shown in operation 106, a selected vertex is determinedfrom all vertices of the intermediate meshlet that are located withinthe cell, based on one or more criteria. In one embodiment, the one ormore criteria may include minimum error criteria. For example, each ofthe vertices of the intermediate meshlet that are located within thecell may be considered. The vertex that results in a minimum errormetric over the meshlet surface when used to replace all other verticeswithin the cell may be selected as the selected vertex.

Furthermore, in one example, each of the vertices of the intermediatemeshlet that are located within the cell may be iteratively identifiedas a possible selected vertex. In another example, all remainingvertices within the cell may be snapped to (e.g., replaced by) thepossible selected vertex to create an updated polygon mesh. Forinstance, the snapping happens by updating the indices for affectedtriangles to point to the index of the chosen vertex. This may create anedge collapse as two elements of geometry (e.g., two triangles, etc.)are collapsed into one element of geometry (e.g., one triangle) withinthe intermediate meshlet.

Further still, in one embodiment, a metric for an appearance of therasterization of the updated polygon mesh may be determined for thepossible selected vertex. In another embodiment, the possible selectedvertex having a resulting appearance metric closest to the resultingappearance metric for the original polygon meshlet may be determined asthe selected vertex. In yet another embodiment, the one or more criteriamay include proximity criteria. For example, a vertex closest to acenter of the cell may be selected as the selected vertex.

Also, as shown in operation 108, all the vertices of the intermediatemeshlet that are located within the cell are replaced with the selectedvertex to create a modified meshlet. In one embodiment, this may includereplacing, within an index buffer, the index of each vertex of theintermediate meshlet that remains in the cell within the selectedvertex. In this way, a modified index buffer may be created.

Additionally, as shown in operation 110, the modified meshlet isrendered. In one embodiment, the modified meshlet may be rendered toproduce all or a portion of a scene. In another embodiment, the abovesteps may be performed in real-time. In yet another embodiment, themodified meshlet may be rendered utilizing a parallel processing unit(PPU) such as the PPU 200 illustrated in FIG. 2 . In this way, themodified meshlet may replace the original meshlet as a simplifiedversion of the original meshlet.

Further, in one embodiment, vertices of the polygon meshlet may beincrementally moved to the selected vertex over time, over a pluralityof frames, etc. This may enable a geomorphing of the meshlet.

Further still, in one embodiment, a size of the cell may be adjusted,based on a desired level of detail for the meshlet. For example, asmaller cell may result in a higher level of detail for the meshlet. Inanother example, a larger cell may result in a lower level of detail forthe meshlet. In another embodiment, a plurality of grid cells may beapplied to different meshlets to create modified meshlets in parallel.

Also, in one embodiment, a grid may be preprocessed in order to adapt toa geometric mesh. For example, a grid may be fitted to a geometric meshbefore applying the grid to the geometry for simplification in order tominimize an amount of unnecessary computation.

In addition, in one embodiment, an algorithm may be run on each meshletblock without knowledge of the global mesh.

In this way, cells of a grid may provide guidance as to how far tosimplify a polygon mesh. Additionally, regions of the mesh may besimplified in parallel, utilizing the grid. Further, as size of cellswithin grid may influence an amount of simplification that is performed.Further still, the mesh may be reused, and connectivity may be keptalive within the mesh, instead of just generally collapsing geometry.

More illustrative information will now be set forth regarding variousoptional architectures and features with which the foregoing frameworkmay be implemented, per the desires of the user. It should be stronglynoted that the following information is set forth for illustrativepurposes and should not be construed as limiting in any manner. Any ofthe following features may be optionally incorporated with or withoutthe exclusion of other features described.

Parallel Processing Architecture

FIG. 2 illustrates a parallel processing unit (PPU) 200, in accordancewith an embodiment. In an embodiment, the PPU 200 is a multi-threadedprocessor that is implemented on one or more integrated circuit devices.The PPU 200 is a latency hiding architecture designed to process manythreads in parallel. A thread (i.e., a thread of execution) is aninstantiation of a set of instructions configured to be executed by thePPU 200. In an embodiment, the PPU 200 is a graphics processing unit(GPU) configured to implement a graphics rendering pipeline forprocessing three-dimensional (3D) graphics data in order to generatetwo-dimensional (2D) image data for display on a display device such asa liquid crystal display (LCD) device. In other embodiments, the PPU 200may be utilized for performing general-purpose computations. While oneexemplary parallel processor is provided herein for illustrativepurposes, it should be strongly noted that such processor is set forthfor illustrative purposes only, and that any processor may be employedto supplement and/or substitute for the same.

One or more PPUs 200 may be configured to accelerate thousands of HighPerformance Computing (HPC), data center, and machine learningapplications. The PPU 200 may be configured to accelerate numerous deeplearning systems and applications including autonomous vehicleplatforms, deep learning, high-accuracy speech, image, and textrecognition systems, intelligent video analytics, molecular simulations,drug discovery, disease diagnosis, weather forecasting, big dataanalytics, astronomy, molecular dynamics simulation, financial modeling,robotics, factory automation, real-time language translation, onlinesearch optimizations, and personalized user recommendations, and thelike.

As shown in FIG. 2 , the PPU 200 includes an Input/Output (I/O) unit205, a front end unit 215, a scheduler unit 220, a work distributionunit 225, a hub 230, a crossbar (Xbar) 270, one or more generalprocessing clusters (GPCs) 250, and one or more partition units 280. ThePPU 200 may be connected to a host processor or other PPUs 200 via oneor more high-speed NVLink 210 interconnect. The PPU 200 may be connectedto a host processor or other peripheral devices via an interconnect 202.The PPU 200 may also be connected to a local memory comprising a numberof memory devices 204. In an embodiment, the local memory may comprise anumber of dynamic random access memory (DRAM) devices. The DRAM devicesmay be configured as a high-bandwidth memory (HBM) subsystem, withmultiple DRAM dies stacked within each device.

The NVLink 210 interconnect enables systems to scale and include one ormore PPUs 200 combined with one or more CPUs, supports cache coherencebetween the PPUs 200 and CPUs, and CPU mastering. Data and/or commandsmay be transmitted by the NVLink 210 through the hub 230 to/from otherunits of the PPU 200 such as one or more copy engines, a video encoder,a video decoder, a power management unit, etc. (not explicitly shown).The NVLink 210 is described in more detail in conjunction with FIG. 4B.

The I/O unit 205 is configured to transmit and receive communications(i.e., commands, data, etc.) from a host processor (not shown) over theinterconnect 202. The I/O unit 205 may communicate with the hostprocessor directly via the interconnect 202 or through one or moreintermediate devices such as a memory bridge. In an embodiment, the I/Ounit 205 may communicate with one or more other processors, such as oneor more the PPUs 200 via the interconnect 202. In an embodiment, the I/Ounit 205 implements a Peripheral Component Interconnect Express (PCIe)interface for communications over a PCIe bus and the interconnect 202 isa PCIe bus. In alternative embodiments, the I/O unit 205 may implementother types of well-known interfaces for communicating with externaldevices.

The I/O unit 205 decodes packets received via the interconnect 202. Inan embodiment, the packets represent commands configured to cause thePPU 200 to perform various operations. The I/O unit 205 transmits thedecoded commands to various other units of the PPU 200 as the commandsmay specify. For example, some commands may be transmitted to the frontend unit 215. Other commands may be transmitted to the hub 230 or otherunits of the PPU 200 such as one or more copy engines, a video encoder,a video decoder, a power management unit, etc. (not explicitly shown).In other words, the I/O unit 205 is configured to route communicationsbetween and among the various logical units of the PPU 200.

In an embodiment, a program executed by the host processor encodes acommand stream in a buffer that provides workloads to the PPU 200 forprocessing. A workload may comprise several instructions and data to beprocessed by those instructions. The buffer is a region in a memory thatis accessible (i.e., read/write) by both the host processor and the PPU200. For example, the I/O unit 205 may be configured to access thebuffer in a system memory connected to the interconnect 202 via memoryrequests transmitted over the interconnect 202. In an embodiment, thehost processor writes the command stream to the buffer and thentransmits a pointer to the start of the command stream to the PPU 200.The front end unit 215 receives pointers to one or more command streams.The front end unit 215 manages the one or more streams, reading commandsfrom the streams and forwarding commands to the various units of the PPU200.

The front end unit 215 is coupled to a scheduler unit 220 thatconfigures the various GPCs 250 to process tasks defined by the one ormore streams. The scheduler unit 220 is configured to track stateinformation related to the various tasks managed by the scheduler unit220. The state may indicate which GPC 250 a task is assigned to, whetherthe task is active or inactive, a priority level associated with thetask, and so forth. The scheduler unit 220 manages the execution of aplurality of tasks on the one or more GPCs 250.

The scheduler unit 220 is coupled to a work distribution unit 225 thatis configured to dispatch tasks for execution on the GPCs 250. The workdistribution unit 225 may track a number of scheduled tasks receivedfrom the scheduler unit 220. In an embodiment, the work distributionunit 225 manages a pending task pool and an active task pool for each ofthe GPCs 250. The pending task pool may comprise a number of slots(e.g., 32 slots) that contain tasks assigned to be processed by aparticular GPC 250. The active task pool may comprise a number of slots(e.g., 4 slots) for tasks that are actively being processed by the GPCs250. As a GPC 250 finishes the execution of a task, that task is evictedfrom the active task pool for the GPC 250 and one of the other tasksfrom the pending task pool is selected and scheduled for execution onthe GPC 250. If an active task has been idle on the GPC 250, such aswhile waiting for a data dependency to be resolved, then the active taskmay be evicted from the GPC 250 and returned to the pending task poolwhile another task in the pending task pool is selected and scheduledfor execution on the GPC 250.

The work distribution unit 225 communicates with the one or more GPCs250 via XBar 270. The XBar 270 is an interconnect network that couplesmany of the units of the PPU 200 to other units of the PPU 200. Forexample, the XBar 270 may be configured to couple the work distributionunit 225 to a particular GPC 250. Although not shown explicitly, one ormore other units of the PPU 200 may also be connected to the XBar 270via the hub 230.

The tasks are managed by the scheduler unit 220 and dispatched to a GPC250 by the work distribution unit 225. The GPC 250 is configured toprocess the task and generate results. The results may be consumed byother tasks within the GPC 250, routed to a different GPC 250 via theXBar 270, or stored in the memory 204. The results can be written to thememory 204 via the partition units 280, which implement a memoryinterface for reading and writing data to/from the memory 204. Theresults can be transmitted to another PPU 200 or CPU via the NVLink 210.In an embodiment, the PPU 200 includes a number U of partition units 280that is equal to the number of separate and distinct memory devices 204coupled to the PPU 200. A partition unit 280 will be described in moredetail below in conjunction with FIG. 3B.

In an embodiment, a host processor executes a driver kernel thatimplements an application programming interface (API) that enables oneor more applications executing on the host processor to scheduleoperations for execution on the PPU 200. In an embodiment, multiplecompute applications are simultaneously executed by the PPU 200 and thePPU 200 provides isolation, quality of service (QoS), and independentaddress spaces for the multiple compute applications. An application maygenerate instructions (i.e., API calls) that cause the driver kernel togenerate one or more tasks for execution by the PPU 200. The driverkernel outputs tasks to one or more streams being processed by the PPU200. Each task may comprise one or more groups of related threads,referred to herein as a warp. In an embodiment, a warp comprises 32related threads that may be executed in parallel. Cooperating threadsmay refer to a plurality of threads including instructions to performthe task and that may exchange data through shared memory. Threads andcooperating threads are described in more detail in conjunction withFIG. 4A.

FIG. 3A illustrates a GPC 250 of the PPU 200 of FIG. 2 , in accordancewith an embodiment. As shown in FIG. 3A, each GPC 250 includes a numberof hardware units for processing tasks. In an embodiment, each GPC 250includes a pipeline manager 310, a pre-raster operations unit (PROP)315, a raster engine 325, a work distribution crossbar (WDX) 380, amemory management unit (MMU) 390, and one or more Data ProcessingClusters (DPCs) 320. It will be appreciated that the GPC 250 of FIG. 3Amay include other hardware units in lieu of or in addition to the unitsshown in FIG. 3A.

In an embodiment, the operation of the GPC 250 is controlled by thepipeline manager 310. The pipeline manager 310 manages the configurationof the one or more DPCs 320 for processing tasks allocated to the GPC250. In an embodiment, the pipeline manager 310 may configure at leastone of the one or more DPCs 320 to implement at least a portion of agraphics rendering pipeline. For example, a DPC 320 may be configured toexecute a vertex shader program on the programmable streamingmultiprocessor (SM) 340. The pipeline manager 310 may also be configuredto route packets received from the work distribution unit 225 to theappropriate logical units within the GPC 250. For example, some packetsmay be routed to fixed function hardware units in the PROP 315 and/orraster engine 325 while other packets may be routed to the DPCs 320 forprocessing by the primitive engine 335 or the SM 340. In an embodiment,the pipeline manager 310 may configure at least one of the one or moreDPCs 320 to implement a neural network model and/or a computingpipeline.

The PROP unit 315 is configured to route data generated by the rasterengine 325 and the DPCs 320 to a Raster Operations (ROP) unit, describedin more detail in conjunction with FIG. 3B. The PROP unit 315 may alsobe configured to perform optimizations for color blending, organizepixel data, perform address translations, and the like.

The raster engine 325 includes a number of fixed function hardware unitsconfigured to perform various raster operations. In an embodiment, theraster engine 325 includes a setup engine, a coarse raster engine, aculling engine, a clipping engine, a fine raster engine, and a tilecoalescing engine. The setup engine receives transformed vertices andgenerates plane equations associated with the geometric primitivedefined by the vertices. The plane equations are transmitted to thecoarse raster engine to generate coverage information (e.g., an x,ycoverage mask for a tile) for the primitive. The output of the coarseraster engine is transmitted to the culling engine where fragmentsassociated with the primitive that fail a z-test are culled, andtransmitted to a clipping engine where fragments lying outside a viewingfrustum are clipped. Those fragments that survive clipping and cullingmay be passed to the fine raster engine to generate attributes for thepixel fragments based on the plane equations generated by the setupengine. The output of the raster engine 325 comprises fragments to beprocessed, for example, by a fragment shader implemented within a DPC320.

Each DPC 320 included in the GPC 250 includes an M-Pipe Controller (MPC)330, a primitive engine 335, and one or more SMs 340. The MPC 330controls the operation of the DPC 320, routing packets received from thepipeline manager 310 to the appropriate units in the DPC 320. Forexample, packets associated with a vertex may be routed to the primitiveengine 335, which is configured to fetch vertex attributes associatedwith the vertex from the memory 204. In contrast, packets associatedwith a shader program may be transmitted to the SM 340.

The SM 340 comprises a programmable streaming processor that isconfigured to process tasks represented by a number of threads. Each SM340 is multi-threaded and configured to execute a plurality of threads(e.g., 32 threads) from a particular group of threads concurrently. Inan embodiment, the SM 340 implements a SIMD (Single-Instruction,Multiple-Data) architecture where each thread in a group of threads(i.e., a warp) is configured to process a different set of data based onthe same set of instructions. All threads in the group of threadsexecute the same instructions. In another embodiment, the SM 340implements a SIMT (Single-Instruction, Multiple Thread) architecturewhere each thread in a group of threads is configured to process adifferent set of data based on the same set of instructions, but whereindividual threads in the group of threads are allowed to diverge duringexecution. In an embodiment, a program counter, call stack, andexecution state is maintained for each warp, enabling concurrencybetween warps and serial execution within warps when threads within thewarp diverge. In another embodiment, a program counter, call stack, andexecution state is maintained for each individual thread, enabling equalconcurrency between all threads, within and between warps. Whenexecution state is maintained for each individual thread, threadsexecuting the same instructions may be converged and executed inparallel for maximum efficiency. The SM 340 will be described in moredetail below in conjunction with FIG. 4A.

The MMU 390 provides an interface between the GPC 250 and the partitionunit 280. The MMU 390 may provide translation of virtual addresses intophysical addresses, memory protection, and arbitration of memoryrequests. In an embodiment, the MMU 390 provides one or more translationlookaside buffers (TLBs) for performing translation of virtual addressesinto physical addresses in the memory 204.

FIG. 3B illustrates a memory partition unit 280 of the PPU 200 of FIG. 2, in accordance with an embodiment. As shown in FIG. 3B, the memorypartition unit 280 includes a Raster Operations (ROP) unit 350, a leveltwo (L2) cache 360, and a memory interface 370. The memory interface 370is coupled to the memory 204. Memory interface 370 may implement 32, 64,128, 1024-bit data buses, or the like, for high-speed data transfer. Inan embodiment, the PPU 200 incorporates U memory interfaces 370, onememory interface 370 per pair of partition units 280, where each pair ofpartition units 280 is connected to a corresponding memory device 204.For example, PPU 200 may be connected to up to Y memory devices 204,such as high bandwidth memory stacks or graphics double-data-rate,version 5, synchronous dynamic random access memory, or other types ofpersistent storage.

In an embodiment, the memory interface 370 implements an HBM2 memoryinterface and Y equals half U. In an embodiment, the HBM2 memory stacksare located on the same physical package as the PPU 200, providingsubstantial power and area savings compared with conventional GDDR5SDRAM systems. In an embodiment, each HBM2 stack includes four memorydies and Y equals 4, with HBM2 stack including two 128-bit channels perdie for a total of 8 channels and a data bus width of 1024 bits.

In an embodiment, the memory 204 supports Single-Error CorrectingDouble-Error Detecting (SECDED) Error Correction Code (ECC) to protectdata. ECC provides higher reliability for compute applications that aresensitive to data corruption. Reliability is especially important inlarge-scale cluster computing environments where PPUs 200 process verylarge datasets and/or run applications for extended periods.

In an embodiment, the PPU 200 implements a multi-level memory hierarchy.In an embodiment, the memory partition unit 280 supports a unifiedmemory to provide a single unified virtual address space for CPU and PPU200 memory, enabling data sharing between virtual memory systems. In anembodiment the frequency of accesses by a PPU 200 to memory located onother processors is traced to ensure that memory pages are moved to thephysical memory of the PPU 200 that is accessing the pages morefrequently. In an embodiment, the NVLink 210 supports addresstranslation services allowing the PPU 200 to directly access a CPU'spage tables and providing full access to CPU memory by the PPU 200.

In an embodiment, copy engines transfer data between multiple PPUs 200or between PPUs 200 and CPUs. The copy engines can generate page faultsfor addresses that are not mapped into the page tables. The memorypartition unit 280 can then service the page faults, mapping theaddresses into the page table, after which the copy engine can performthe transfer. In a conventional system, memory is pinned (i.e.,non-pageable) for multiple copy engine operations between multipleprocessors, substantially reducing the available memory. With hardwarepage faulting, addresses can be passed to the copy engines withoutworrying if the memory pages are resident, and the copy process istransparent.

Data from the memory 204 or other system memory may be fetched by thememory partition unit 280 and stored in the L2 cache 360, which islocated on-chip and is shared between the various GPCs 250. As shown,each memory partition unit 280 includes a portion of the L2 cache 360associated with a corresponding memory device 204. Lower level cachesmay then be implemented in various units within the GPCs 250. Forexample, each of the SMs 340 may implement a level one (L1) cache. TheL1 cache is private memory that is dedicated to a particular SM 340.Data from the L2 cache 360 may be fetched and stored in each of the L1caches for processing in the functional units of the SMs 340. The L2cache 360 is coupled to the memory interface 370 and the XBar 270.

The ROP unit 350 performs graphics raster operations related to pixelcolor, such as color compression, pixel blending, and the like. The ROPunit 350 also implements depth testing in conjunction with the rasterengine 325, receiving a depth for a sample location associated with apixel fragment from the culling engine of the raster engine 325. Thedepth is tested against a corresponding depth in a depth buffer for asample location associated with the fragment. If the fragment passes thedepth test for the sample location, then the ROP unit 350 updates thedepth buffer and transmits a result of the depth test to the rasterengine 325. It will be appreciated that the number of partition units280 may be different than the number of GPCs 250 and, therefore, eachROP unit 350 may be coupled to each of the GPCs 250. The ROP unit 350tracks packets received from the different GPCs 250 and determines whichGPC 250 that a result generated by the ROP unit 350 is routed to throughthe Xbar 270. Although the ROP unit 350 is included within the memorypartition unit 280 in FIG. 3B, in other embodiment, the ROP unit 350 maybe outside of the memory partition unit 280. For example, the ROP unit350 may reside in the GPC 250 or another unit.

FIG. 4A illustrates the streaming multi-processor 340 of FIG. 3A, inaccordance with an embodiment. As shown in FIG. 4A, the SM 340 includesan instruction cache 405, one or more scheduler units 410(K), a registerfile 420, one or more processing cores 450, one or more special functionunits (SFUs) 452, one or more load/store units (LSUs) 454, aninterconnect network 480, a shared memory/L1 cache 470.

As described above, the work distribution unit 225 dispatches tasks forexecution on the GPCs 250 of the PPU 200. The tasks are allocated to aparticular DPC 320 within a GPC 250 and, if the task is associated witha shader program, the task may be allocated to an SM 340. The schedulerunit 410(K) receives the tasks from the work distribution unit 225 andmanages instruction scheduling for one or more thread blocks assigned tothe SM 340. The scheduler unit 410(K) schedules thread blocks forexecution as warps of parallel threads, where each thread block isallocated at least one warp. In an embodiment, each warp executes 32threads. The scheduler unit 410(K) may manage a plurality of differentthread blocks, allocating the warps to the different thread blocks andthen dispatching instructions from the plurality of differentcooperative groups to the various functional units (i.e., cores 450,SFUs 452, and LSUs 454) during each clock cycle.

Cooperative Groups is a programming model for organizing groups ofcommunicating threads that allows developers to express the granularityat which threads are communicating, enabling the expression of richer,more efficient parallel decompositions. Cooperative launch APIs supportsynchronization amongst thread blocks for the execution of parallelalgorithms. Conventional programming models provide a single, simpleconstruct for synchronizing cooperating threads: a barrier across allthreads of a thread block (i.e., the syncthreads( ) function). However,programmers would often like to define groups of threads at smaller thanthread block granularities and synchronize within the defined groups toenable greater performance, design flexibility, and software reuse inthe form of collective group-wide function interfaces.

Cooperative Groups enables programmers to define groups of threadsexplicitly at sub-block (i.e., as small as a single thread) andmulti-block granularities, and to perform collective operations such assynchronization on the threads in a cooperative group. The programmingmodel supports clean composition across software boundaries, so thatlibraries and utility functions can synchronize safely within theirlocal context without having to make assumptions about convergence.Cooperative Groups primitives enable new patterns of cooperativeparallelism, including producer-consumer parallelism, opportunisticparallelism, and global synchronization across an entire grid of threadblocks.

A dispatch unit 415 is configured to transmit instructions to one ormore of the functional units. In the embodiment, the scheduler unit410(K) includes two dispatch units 415 that enable two differentinstructions from the same warp to be dispatched during each clockcycle. In alternative embodiments, each scheduler unit 410(K) mayinclude a single dispatch unit 415 or additional dispatch units 415.

Each SM 340 includes a register file 420 that provides a set ofregisters for the functional units of the SM 340. In an embodiment, theregister file 420 is divided between each of the functional units suchthat each functional unit is allocated a dedicated portion of theregister file 420. In another embodiment, the register file 420 isdivided between the different warps being executed by the SM 340. Theregister file 420 provides temporary storage for operands connected tothe data paths of the functional units.

Each SM 340 comprises L processing cores 450. In an embodiment, the SM340 includes a large number (e.g., 128, etc.) of distinct processingcores 450. Each core 450 may include a fully-pipelined,single-precision, double-precision, and/or mixed precision processingunit that includes a floating point arithmetic logic unit and an integerarithmetic logic unit. In an embodiment, the floating point arithmeticlogic units implement the IEEE 754-2008 standard for floating pointarithmetic. In an embodiment, the cores 450 include 64 single-precision(32-bit) floating point cores, 64 integer cores, 32 double-precision(64-bit) floating point cores, and 8 tensor cores.

Tensor cores configured to perform matrix operations, and, in anembodiment, one or more tensor cores are included in the cores 450. Inparticular, the tensor cores are configured to perform deep learningmatrix arithmetic, such as convolution operations for neural networktraining and inferencing. In an embodiment, each tensor core operates ona 4×4 matrix and performs a matrix multiply and accumulate operationD=A×B+C, where A, B, C, and D are 4×4 matrices.

In an embodiment, the matrix multiply inputs A and B are 16-bit floatingpoint matrices, while the accumulation matrices C and D may be 16-bitfloating point or 32-bit floating point matrices. Tensor Cores operateon 16-bit floating point input data with 32-bit floating pointaccumulation. The 16-bit floating point multiply requires 64 operationsand results in a full precision product that is then accumulated using32-bit floating point addition with the other intermediate products fora 4×4×4 matrix multiply. In practice, Tensor Cores are used to performmuch larger two-dimensional or higher dimensional matrix operations,built up from these smaller elements. An API, such as CUDA 9 C++ API,exposes specialized matrix load, matrix multiply and accumulate, andmatrix store operations to efficiently use Tensor Cores from a CUDA-C++program. At the CUDA level, the warp-level interface assumes 16×16 sizematrices spanning all 32 threads of the warp.

Each SM 340 also comprises M SFUs 452 that perform special functions(e.g., attribute evaluation, reciprocal square root, and the like). Inan embodiment, the SFUs 452 may include a tree traversal unit configuredto traverse a hierarchical tree data structure. In an embodiment, theSFUs 452 may include texture unit configured to perform texture mapfiltering operations. In an embodiment, the texture units are configuredto load texture maps (e.g., a 2D array of texels) from the memory 204and sample the texture maps to produce sampled texture values for use inshader programs executed by the SM 340. In an embodiment, the texturemaps are stored in the shared memory/L1 cache 370. The texture unitsimplement texture operations such as filtering operations using mip-maps(i.e., texture maps of varying levels of detail). In an embodiment, eachSM 240 includes two texture units.

Each SM 340 also comprises N LSUs 454 that implement load and storeoperations between the shared memory/L1 cache 470 and the register file420. Each SM 340 includes an interconnect network 480 that connects eachof the functional units to the register file 420 and the LSU 454 to theregister file 420, shared memory/L1 cache 470. In an embodiment, theinterconnect network 480 is a crossbar that can be configured to connectany of the functional units to any of the registers in the register file420 and connect the LSUs 454 to the register file and memory locationsin shared memory/L1 cache 470.

The shared memory/L1 cache 470 is an array of on-chip memory that allowsfor data storage and communication between the SM 340 and the primitiveengine 335 and between threads in the SM 340. In an embodiment, theshared memory/L1 cache 470 comprises 128 KB of storage capacity and isin the path from the SM 340 to the partition unit 280. The sharedmemory/L1 cache 470 can be used to cache reads and writes. One or moreof the shared memory/L1 cache 470, L2 cache 360, and memory 204 arebacking stores.

Combining data cache and shared memory functionality into a singlememory block provides the best overall performance for both types ofmemory accesses. The capacity is usable as a cache by programs that donot use shared memory. For example, if shared memory is configured touse half of the capacity, texture and load/store operations can use theremaining capacity. Integration within the shared memory/L1 cache 470enables the shared memory/L1 cache 470 to function as a high-throughputconduit for streaming data while simultaneously providing high-bandwidthand low-latency access to frequently reused data.

When configured for general purpose parallel computation, a simplerconfiguration can be used compared with graphics processing.Specifically, the fixed function graphics processing units shown in FIG.2 , are bypassed, creating a much simpler programming model. In thegeneral purpose parallel computation configuration, the workdistribution unit 225 assigns and distributes blocks of threads directlyto the DPCs 320. The threads in a block execute the same program, usinga unique thread ID in the calculation to ensure each thread generatesunique results, using the SM 340 to execute the program and performcalculations, shared memory/L1 cache 470 to communicate between threads,and the LSU 454 to read and write global memory through the sharedmemory/L1 cache 470 and the memory partition unit 280. When configuredfor general purpose parallel computation, the SM 340 can also writecommands that the scheduler unit 220 can use to launch new work on theDPCs 320.

The PPU 200 may be included in a desktop computer, a laptop computer, atablet computer, servers, supercomputers, a smart-phone (e.g., awireless, hand-held device), personal digital assistant (PDA), a digitalcamera, a vehicle, a head mounted display, a hand-held electronicdevice, and the like. In an embodiment, the PPU 200 is embodied on asingle semiconductor substrate. In another embodiment, the PPU 200 isincluded in a system-on-a-chip (SoC) along with one or more otherdevices such as additional PPUs 200, the memory 204, a reducedinstruction set computer (RISC) CPU, a memory management unit (MMU), adigital-to-analog converter (DAC), and the like.

In an embodiment, the PPU 200 may be included on a graphics card thatincludes one or more memory devices 204. The graphics card may beconfigured to interface with a PCIe slot on a motherboard of a desktopcomputer. In yet another embodiment, the PPU 200 may be an integratedgraphics processing unit (iGPU) or parallel processor included in thechipset of the motherboard.

Exemplary Computing System

Systems with multiple GPUs and CPUs are used in a variety of industriesas developers expose and leverage more parallelism in applications suchas artificial intelligence computing. High-performance GPU-acceleratedsystems with tens to many thousands of compute nodes are deployed indata centers, research facilities, and supercomputers to solve everlarger problems. As the number of processing devices within thehigh-performance systems increases, the communication and data transfermechanisms need to scale to support the increased bandwidth.

FIG. 4B is a conceptual diagram of a processing system 400 implementedusing the PPU 200 of FIG. 2 , in accordance with an embodiment. Theexemplary system 465 may be configured to implement the method 100 shownin FIG. 1 . The processing system 400 includes a CPU 430, switch 410,and multiple PPUs 200 each and respective memories 204. The NVLink 210provides high-speed communication links between each of the PPUs 200.Although a particular number of NVLink 210 and interconnect 202connections are illustrated in FIG. 4B, the number of connections toeach PPU 200 and the CPU 430 may vary. The switch 410 interfaces betweenthe interconnect 202 and the CPU 430. The PPUs 200, memories 204, andNVLinks 210 may be situated on a single semiconductor platform to form aparallel processing module 425. In an embodiment, the switch 410supports two or more protocols to interface between various differentconnections and/or links.

In another embodiment (not shown), the NVLink 210 provides one or morehigh-speed communication links between each of the PPUs 200 and the CPU430 and the switch 410 interfaces between the interconnect 202 and eachof the PPUs 200. The PPUs 200, memories 204, and interconnect 202 may besituated on a single semiconductor platform to form a parallelprocessing module 425. In yet another embodiment (not shown), theinterconnect 202 provides one or more communication links between eachof the PPUs 200 and the CPU 430 and the switch 410 interfaces betweeneach of the PPUs 200 using the NVLink 210 to provide one or morehigh-speed communication links between the PPUs 200. In anotherembodiment (not shown), the NVLink 210 provides one or more high-speedcommunication links between the PPUs 200 and the CPU 430 through theswitch 410. In yet another embodiment (not shown), the interconnect 202provides one or more communication links between each of the PPUs 200directly. One or more of the NVLink 210 high-speed communication linksmay be implemented as a physical NVLink interconnect or either anon-chip or on-die interconnect using the same protocol as the NVLink210.

In the context of the present description, a single semiconductorplatform may refer to a sole unitary semiconductor-based integratedcircuit fabricated on a die or chip. It should be noted that the termsingle semiconductor platform may also refer to multi-chip modules withincreased connectivity which simulate on-chip operation and makesubstantial improvements over utilizing a conventional busimplementation. Of course, the various circuits or devices may also besituated separately or in various combinations of semiconductorplatforms per the desires of the user. Alternately, the parallelprocessing module 425 may be implemented as a circuit board substrateand each of the PPUs 200 and/or memories 204 may be packaged devices. Inan embodiment, the CPU 430, switch 410, and the parallel processingmodule 425 are situated on a single semiconductor platform.

In an embodiment, the signaling rate of each NVLink 210 is 20 to 25Gigabits/second and each PPU 200 includes six NVLink 210 interfaces (asshown in FIG. 4B, five NVLink 210 interfaces are included for each PPU200). Each NVLink 210 provides a data transfer rate of 25Gigabytes/second in each direction, with six links providing 300Gigabytes/second. The NVLinks 210 can be used exclusively for PPU-to-PPUcommunication as shown in FIG. 4B, or some combination of PPU-to-PPU andPPU-to-CPU, when the CPU 430 also includes one or more NVLink 210interfaces.

In an embodiment, the NVLink 210 allows direct load/store/atomic accessfrom the CPU 430 to each PPU's 200 memory 204. In an embodiment, theNVLink 210 supports coherency operations, allowing data read from thememories 204 to be stored in the cache hierarchy of the CPU 430,reducing cache access latency for the CPU 430. In an embodiment, theNVLink 210 includes support for Address Translation Services (ATS),allowing the PPU 200 to directly access page tables within the CPU 430.One or more of the NVLinks 210 may also be configured to operate in alow-power mode.

FIG. 4C illustrates an exemplary system 465 in which the variousarchitecture and/or functionality of the various previous embodimentsmay be implemented. The exemplary system 465 may be configured toimplement the method 100 shown in FIG. 1 .

As shown, a system 465 is provided including at least one centralprocessing unit 430 that is connected to a communication bus 475. Thecommunication bus 475 may be implemented using any suitable protocol,such as PCI (Peripheral Component Interconnect), PCI-Express, AGP(Accelerated Graphics Port), HyperTransport, or any other bus orpoint-to-point communication protocol(s). The system 465 also includes amain memory 440. Control logic (software) and data are stored in themain memory 440 which may take the form of random access memory (RAM).

The system 465 also includes input devices 460, the parallel processingsystem 425, and display devices 445, i.e. a conventional CRT (cathoderay tube), LCD (liquid crystal display), LED (light emitting diode),plasma display or the like. User input may be received from the inputdevices 460, e.g., keyboard, mouse, touchpad, microphone, and the like.Each of the foregoing modules and/or devices may even be situated on asingle semiconductor platform to form the system 465. Alternately, thevarious modules may also be situated separately or in variouscombinations of semiconductor platforms per the desires of the user.

Further, the system 465 may be coupled to a network (e.g., atelecommunications network, local area network (LAN), wireless network,wide area network (WAN) such as the Internet, peer-to-peer network,cable network, or the like) through a network interface 435 forcommunication purposes.

The system 465 may also include a secondary storage (not shown). Thesecondary storage includes, for example, a hard disk drive and/or aremovable storage drive, representing a floppy disk drive, a magnetictape drive, a compact disk drive, digital versatile disk (DVD) drive,recording device, universal serial bus (USB) flash memory. The removablestorage drive reads from and/or writes to a removable storage unit in awell-known manner.

Computer programs, or computer control logic algorithms, may be storedin the main memory 440 and/or the secondary storage. Such computerprograms, when executed, enable the system 465 to perform variousfunctions. The memory 440, the storage, and/or any other storage arepossible examples of computer-readable media.

The architecture and/or functionality of the various previous figuresmay be implemented in the context of a general computer system, acircuit board system, a game console system dedicated for entertainmentpurposes, an application-specific system, and/or any other desiredsystem. For example, the system 465 may take the form of a desktopcomputer, a laptop computer, a tablet computer, servers, supercomputers,a smart-phone (e.g., a wireless, hand-held device), personal digitalassistant (PDA), a digital camera, a vehicle, a head mounted display, ahand-held electronic device, a mobile phone device, a television,workstation, game consoles, embedded system, and/or any other type oflogic.

While various embodiments have been described above, it should beunderstood that they have been presented by way of example only, and notlimitation. Thus, the breadth and scope of a preferred embodiment shouldnot be limited by any of the above-described exemplary embodiments, butshould be defined only in accordance with the following claims and theirequivalents.

Graphics Processing Pipeline

In an embodiment, the PPU 200 comprises a graphics processing unit(GPU). The PPU 200 is configured to receive commands that specify shaderprograms for processing graphics data. Graphics data may be defined as aset of primitives such as points, lines, triangles, quads, trianglestrips, and the like. Typically, a primitive includes data thatspecifies a number of vertices for the primitive (e.g., in a model-spacecoordinate system) as well as attributes associated with each vertex ofthe primitive. The PPU 200 can be configured to process the graphicsprimitives to generate a frame buffer (i.e., pixel data for each of thepixels of the display).

An application writes model data for a scene (i.e., a collection ofvertices and attributes) to a memory such as a system memory or memory204. The model data defines each of the objects that may be visible on adisplay. The application then makes an API call to the driver kernelthat requests the model data to be rendered and displayed. The driverkernel reads the model data and writes commands to the one or morestreams to perform operations to process the model data. The commandsmay reference different shader programs to be implemented on the SMs 340of the PPU 200 including one or more of a vertex shader, hull shader,domain shader, geometry shader, and a pixel shader. For example, one ormore of the SMs 340 may be configured to execute a vertex shader programthat processes a number of vertices defined by the model data. In anembodiment, the different SMs 340 may be configured to execute differentshader programs concurrently. For example, a first subset of SMs 340 maybe configured to execute a vertex shader program while a second subsetof SMs 340 may be configured to execute a pixel shader program. Thefirst subset of SMs 340 processes vertex data to produce processedvertex data and writes the processed vertex data to the L2 cache 360and/or the memory 204. After the processed vertex data is rasterized(i.e., transformed from three-dimensional data into two-dimensional datain screen space) to produce fragment data, the second subset of SMs 340executes a pixel shader to produce processed fragment data, which isthen blended with other processed fragment data and written to the framebuffer in memory 204. The vertex shader program and pixel shader programmay execute concurrently, processing different data from the same scenein a pipelined fashion until all of the model data for the scene hasbeen rendered to the frame buffer. Then, the contents of the framebuffer are transmitted to a display controller for display on a displaydevice.

FIG. 5 is a conceptual diagram of a graphics processing pipeline 500implemented by the PPU 200 of FIG. 2 , in accordance with an embodiment.The graphics processing pipeline 500 is an abstract flow diagram of theprocessing steps implemented to generate 2D computer-generated imagesfrom 3D geometry data. As is well-known, pipeline architectures mayperform long latency operations more efficiently by splitting up theoperation into a plurality of stages, where the output of each stage iscoupled to the input of the next successive stage. Thus, the graphicsprocessing pipeline 500 receives input data 501 that is transmitted fromone stage to the next stage of the graphics processing pipeline 500 togenerate output data 502. In an embodiment, the graphics processingpipeline 500 may represent a graphics processing pipeline defined by theOpenGL® API. As an option, the graphics processing pipeline 500 may beimplemented in the context of the functionality and architecture of theprevious Figures and/or any subsequent Figure(s).

As shown in FIG. 5 , the graphics processing pipeline 500 comprises apipeline architecture that includes a number of stages. The stagesinclude, but are not limited to, a data assembly stage 510, a vertexshading stage 520, a primitive assembly stage 530, a geometry shadingstage 540, a viewport scale, cull, and clip (VSCC) stage 550, arasterization stage 560, a fragment shading stage 570, and a rasteroperations stage 580. In an embodiment, the input data 501 comprisescommands that configure the processing units to implement the stages ofthe graphics processing pipeline 500 and geometric primitives (e.g.,points, lines, triangles, quads, triangle strips or fans, etc.) to beprocessed by the stages. The output data 502 may comprise pixel data(i.e., color data) that is copied into a frame buffer or other type ofsurface data structure in a memory.

The data assembly stage 510 receives the input data 501 that specifiesvertex data for high-order surfaces, primitives, or the like. The dataassembly stage 510 collects the vertex data in a temporary storage orqueue, such as by receiving a command from the host processor thatincludes a pointer to a buffer in memory and reading the vertex datafrom the buffer. The vertex data is then transmitted to the vertexshading stage 520 for processing.

The vertex shading stage 520 processes vertex data by performing a setof operations (i.e., a vertex shader or a program) once for each of thevertices. Vertices may be, e.g., specified as a 4-coordinate vector(i.e., <x, y, z, w>) associated with one or more vertex attributes(e.g., color, texture coordinates, surface normal, etc.). The vertexshading stage 520 may manipulate individual vertex attributes such asposition, color, texture coordinates, and the like. In other words, thevertex shading stage 520 performs operations on the vertex coordinatesor other vertex attributes associated with a vertex. Such operationscommonly including lighting operations (i.e., modifying color attributesfor a vertex) and transformation operations (i.e., modifying thecoordinate space for a vertex). For example, vertices may be specifiedusing coordinates in an object-coordinate space, which are transformedby multiplying the coordinates by a matrix that translates thecoordinates from the object-coordinate space into a world space or anormalized-device-coordinate (NCD) space. The vertex shading stage 520generates transformed vertex data that is transmitted to the primitiveassembly stage 530.

The primitive assembly stage 530 collects vertices output by the vertexshading stage 520 and groups the vertices into geometric primitives forprocessing by the geometry shading stage 540. For example, the primitiveassembly stage 530 may be configured to group every three consecutivevertices as a geometric primitive (i.e., a triangle) for transmission tothe geometry shading stage 540. In some embodiments, specific verticesmay be reused for consecutive geometric primitives (e.g., twoconsecutive triangles in a triangle strip may share two vertices). Theprimitive assembly stage 530 transmits geometric primitives (i.e., acollection of associated vertices) to the geometry shading stage 540.

The geometry shading stage 540 processes geometric primitives byperforming a set of operations (i.e., a geometry shader or program) onthe geometric primitives. Tessellation operations may generate one ormore geometric primitives from each geometric primitive. In other words,the geometry shading stage 540 may subdivide each geometric primitiveinto a finer mesh of two or more geometric primitives for processing bythe rest of the graphics processing pipeline 500. The geometry shadingstage 540 transmits geometric primitives to the viewport SCC stage 550.

In an embodiment, the graphics processing pipeline 500 may operatewithin a streaming multiprocessor and the vertex shading stage 520, theprimitive assembly stage 530, the geometry shading stage 540, thefragment shading stage 570, and/or hardware/software associatedtherewith, may sequentially perform processing operations. Once thesequential processing operations are complete, in an embodiment, theviewport SCC stage 550 may utilize the data. In an embodiment, primitivedata processed by one or more of the stages in the graphics processingpipeline 500 may be written to a cache (e.g. L1 cache, a vertex cache,etc.). In this case, in an embodiment, the viewport SCC stage 550 mayaccess the data in the cache. In an embodiment, the viewport SCC stage550 and the rasterization stage 560 are implemented as fixed functioncircuitry.

The viewport SCC stage 550 performs viewport scaling, culling, andclipping of the geometric primitives. Each surface being rendered to isassociated with an abstract camera position. The camera positionrepresents a location of a viewer looking at the scene and defines aviewing frustum that encloses the objects of the scene. The viewingfrustum may include a viewing plane, a rear plane, and four clippingplanes. Any geometric primitive entirely outside of the viewing frustummay be culled (i.e., discarded) because the geometric primitive will notcontribute to the final rendered scene. Any geometric primitive that ispartially inside the viewing frustum and partially outside the viewingfrustum may be clipped (i.e., transformed into a new geometric primitivethat is enclosed within the viewing frustum. Furthermore, geometricprimitives may each be scaled based on a depth of the viewing frustum.All potentially visible geometric primitives are then transmitted to therasterization stage 560.

The rasterization stage 560 converts the 3D geometric primitives into 2Dfragments (e.g. capable of being utilized for display, etc.). Therasterization stage 560 may be configured to utilize the vertices of thegeometric primitives to setup a set of plane equations from whichvarious attributes can be interpolated. The rasterization stage 560 mayalso compute a coverage mask for a plurality of pixels that indicateswhether one or more sample locations for the pixel intercept thegeometric primitive. In an embodiment, z-testing may also be performedto determine if the geometric primitive is occluded by other geometricprimitives that have already been rasterized. The rasterization stage560 generates fragment data (i.e., interpolated vertex attributesassociated with a particular sample location for each covered pixel)that are transmitted to the fragment shading stage 570.

The fragment shading stage 570 processes fragment data by performing aset of operations (i.e., a fragment shader or a program) on each of thefragments. The fragment shading stage 570 may generate pixel data (i.e.,color values) for the fragment such as by performing lighting operationsor sampling texture maps using interpolated texture coordinates for thefragment. The fragment shading stage 570 generates pixel data that istransmitted to the raster operations stage 580.

The raster operations stage 580 may perform various operations on thepixel data such as performing alpha tests, stencil tests, and blendingthe pixel data with other pixel data corresponding to other fragmentsassociated with the pixel. When the raster operations stage 580 hasfinished processing the pixel data (i.e., the output data 502), thepixel data may be written to a render target such as a frame buffer, acolor buffer, or the like.

It will be appreciated that one or more additional stages may beincluded in the graphics processing pipeline 500 in addition to or inlieu of one or more of the stages described above. Variousimplementations of the abstract graphics processing pipeline mayimplement different stages. Furthermore, one or more of the stagesdescribed above may be excluded from the graphics processing pipeline insome embodiments (such as the geometry shading stage 540). Other typesof graphics processing pipelines are contemplated as being within thescope of the present disclosure. Furthermore, any of the stages of thegraphics processing pipeline 500 may be implemented by one or morededicated hardware units within a graphics processor such as PPU 200.Other stages of the graphics processing pipeline 500 may be implementedby programmable hardware units such as the SM 340 of the PPU 200.

The graphics processing pipeline 500 may be implemented via anapplication executed by a host processor, such as a CPU. In anembodiment, a device driver may implement an application programminginterface (API) that defines various functions that can be utilized byan application in order to generate graphical data for display. Thedevice driver is a software program that includes a plurality ofinstructions that control the operation of the PPU 200. The API providesan abstraction for a programmer that lets a programmer utilizespecialized graphics hardware, such as the PPU 200, to generate thegraphical data without requiring the programmer to utilize the specificinstruction set for the PPU 200. The application may include an API callthat is routed to the device driver for the PPU 200. The device driverinterprets the API call and performs various operations to respond tothe API call. In some instances, the device driver may performoperations by executing instructions on the CPU. In other instances, thedevice driver may perform operations, at least in part, by launchingoperations on the PPU 200 utilizing an input/output interface betweenthe CPU and the PPU 200. In an embodiment, the device driver isconfigured to implement the graphics processing pipeline 500 utilizingthe hardware of the PPU 200.

Various programs may be executed within the PPU 200 in order toimplement the various stages of the graphics processing pipeline 500.For example, the device driver may launch a kernel on the PPU 200 toperform the vertex shading stage 520 on one SM 340 (or multiple SMs340). The device driver (or the initial kernel executed by the PPU 300)may also launch other kernels on the PPU 300 to perform other stages ofthe graphics processing pipeline 500, such as the geometry shading stage540 and the fragment shading stage 570. In addition, some of the stagesof the graphics processing pipeline 500 may be implemented on fixed unithardware such as a rasterizer or a data assembler implemented within thePPU 300. It will be appreciated that results from one kernel may beprocessed by one or more intervening fixed function hardware unitsbefore being processed by a subsequent kernel on an SM 340.

Machine Learning

Deep neural networks (DNNs) developed on processors, such as the PPU 200have been used for diverse use cases, from self-driving cars to fasterdrug development, from automatic image captioning in online imagedatabases to smart real-time language translation in video chatapplications. Deep learning is a technique that models the neurallearning process of the human brain, continually learning, continuallygetting smarter, and delivering more accurate results more quickly overtime. A child is initially taught by an adult to correctly identify andclassify various shapes, eventually being able to identify shapeswithout any coaching. Similarly, a deep learning or neural learningsystem needs to be trained in object recognition and classification forit get smarter and more efficient at identifying basic objects, occludedobjects, etc., while also assigning context to objects.

At the simplest level, neurons in the human brain look at various inputsthat are received, importance levels are assigned to each of theseinputs, and output is passed on to other neurons to act upon. Anartificial neuron or perceptron is the most basic model of a neuralnetwork. In one example, a perceptron may receive one or more inputsthat represent various features of an object that the perceptron isbeing trained to recognize and classify, and each of these features isassigned a certain weight based on the importance of that feature indefining the shape of an object.

A deep neural network (DNN) model includes multiple layers of manyconnected perceptrons (e.g., nodes) that can be trained with enormousamounts of input data to quickly solve complex problems with highaccuracy. In one example, a first layer of the DLL model breaks down aninput image of an automobile into various sections and looks for basicpatterns such as lines and angles. The second layer assembles the linesto look for higher level patterns such as wheels, windshields, andmirrors. The next layer identifies the type of vehicle, and the finalfew layers generate a label for the input image, identifying the modelof a specific automobile brand.

Once the DNN is trained, the DNN can be deployed and used to identifyand classify objects or patterns in a process known as inference.Examples of inference (the process through which a DNN extracts usefulinformation from a given input) include identifying handwritten numberson checks deposited into ATM machines, identifying images of friends inphotos, delivering movie recommendations to over fifty million users,identifying and classifying different types of automobiles, pedestrians,and road hazards in driverless cars, or translating human speech inreal-time.

During training, data flows through the DNN in a forward propagationphase until a prediction is produced that indicates a labelcorresponding to the input. If the neural network does not correctlylabel the input, then errors between the correct label and the predictedlabel are analyzed, and the weights are adjusted for each feature duringa backward propagation phase until the DNN correctly labels the inputand other inputs in a training dataset. Training complex neural networksrequires massive amounts of parallel computing performance, includingfloating-point multiplications and additions that are supported by thePPU 200. Inferencing is less compute-intensive than training, being alatency-sensitive process where a trained neural network is applied tonew inputs it has not seen before to classify images, translate speech,and generally infer new information.

Neural networks rely heavily on matrix math operations, and complexmulti-layered networks require tremendous amounts of floating-pointperformance and bandwidth for both efficiency and speed. With thousandsof processing cores, optimized for matrix math operations, anddelivering tens to hundreds of TFLOPS of performance, the PPU 200 is acomputing platform capable of delivering performance required for deepneural network-based artificial intelligence and machine learningapplications.

Polygon Meshlet Simplification

FIG. 6 illustrates an exemplary polygon meshlet simplification process600, according to one exemplary embodiment. As shown, a cell 602 isfirst overlaid onto a polygon meshlet 604A. Additionally, anintermediary polygon meshlet 604B is produced by discarding everytriangle that has at least one edge fully inside the cell 602.

Further, a simplified polygon meshlet 604C is produced by replacing anindex of each vertex of the intermediary polygon meshlet 604B thatremains in the cell 602 with an index of a chosen representative vertex606, where the chosen representative vertex 606 is determined based onone or more criteria.

In one embodiment, the meshlet simplification process may be usedon-the-fly inside a meshlet shader. In another embodiment, the meshletsimplification process may be used to generate index buffers for levelof detail (LOD) implementations. In yet another embodiment,preprocessing a mesh may create a list/array of non-empty 3D grid cells.These may spawn meshlets of each of these cells. For the meshlets, analgorithm may also make sure not to disturb any edges on the border ofthe meshlet. A data structure for rendering any mesh with the meshletpipeline may be simple to build, and knowing a reduction factor couldallow building a DS for LODs of the mesh.

Index Buffer Representation

FIG. 7 illustrates an exemplary labelled polygon meshlet simplificationprocess 700, according to one exemplary embodiment. As shown, a cell 702is first overlaid onto a polygon meshlet 704A. Table 1 includes anexemplary index buffer representation corresponding to the polygonmeshlet 704A, in accordance with an embodiment. Of course, it should benoted that the index buffer shown in Table 1 is set forth forillustrative purposes only, and thus should not be construed as limitingin any manner.

TABLE 1 Index Buffer 0, 2, 3, // tri0 0, 3, 1, // tri1 2, 5, 3, // tri23, 4, 1, // tri3 5, 4, 3, // tri4 4, 6, 1, // tri5 7, 9, 5, // tri6  9,4, 5, // tri 7  9, 8, 4, // tri 8 4, 8, 6, // tri9  2, 7, 5 // tri 10

Each entry within the index buffer corresponds to vertices for eachtriangle within the polygon meshlet. Additionally, an intermediarypolygon meshlet 704B is produced by discarding every triangle that hasat least one edge fully inside the cell 702. Table 2 includes anexemplary index buffer representation corresponding to the intermediarypolygon meshlet 704B, in accordance with an embodiment. Of course, itshould be noted that the index buffer shown in Table 2 is set forth forillustrative purposes only, and thus should not be construed as limitingin any manner.

TABLE 2 Index Buffer 0, 2, 3, // tri0 0, 3, 1, // tri1 4, 6, 1, // tri57, 9, 5, // tri6  9, 8, 4, // tri 8 4, 8, 6, // tri9  2, 7, 5 // tri 10

Further, a simplified polygon meshlet 704C is produced by replacing anindex of each vertex of the intermediary polygon meshlet 704B thatremains in the cell 702 with an index of a chosen representative vertex706 (here, vertex 3), where the chosen representative vertex 706 isdetermined based on one or more criteria.

Table 3 includes an exemplary index buffer representation correspondingto the simplified polygon meshlet 704C, in accordance with anembodiment. Of course, it should be noted that the index buffer shown inTable 3 is set forth for illustrative purposes only, and thus should notbe construed as limiting in any manner.

TABLE 3 Index Buffer 0, 2, 3, // tri0‘ = tri0 0, 3, 1, // tri1‘ = tri13, 6, 1, // tri2‘    7, 9, 3, // tri3‘    9, 8, 3, // tri4‘    3, 8, 6,// tri5‘    3, 6, 1 // tri6‘    Bordering Cells/Boundary Conditions

FIG. 8 illustrates an exemplary polygon meshlet simplification process800 for a cell 802 placed along a border of a polygon meshlet 804A,according to one exemplary embodiment. As shown, a cell 802 is firstoverlaid onto a border of a polygon meshlet 804A. Additionally, anintermediary polygon meshlet 804B is produced by discarding everytriangle that has at least one edge fully inside the cell 802.

Further, a simplified polygon meshlet 804C is produced by replacing anindex of each vertex of the intermediary polygon meshlet 804B thatremains in the cell 802 with an index of a chosen representative vertex806, where the chosen representative vertex 806 is determined based onone or more criteria.

Geomorphing

FIG. 9 illustrates a sequential geomorphing 900 of a meshlet, accordingto one exemplary embodiment. As shown, vertices v5 902A and v4 902B areincrementally moved to selected vertex v3 902C over a plurality offrames. For example, each of a plurality of meshlets 904A-D representsone of a plurality of consecutive frames for which geomorphing isperformed.

Parallel Algorithm

FIG. 10 illustrates an exemplary parallel application 1000 of polygonmeshlet simplification, according to one exemplary embodiment. As shown,a grid of four cells 1002A-D are overlaid onto a meshlet 1004. It shouldbe noted that any amount of cells may be overlaid onto the meshlet 1004,based on a desired level of simplification to be performed.

Additionally, in one embodiment, simplification of the meshlet 1004 maybe performed utilizing the four cells 1002A-D in parallel. For purposesof example, assume that the portion of the meshlet associated with afirst cell 1002A is represented by the labelled polygon meshlet 704A inFIG. 7 , with the corresponding index buffer shown in Table 1.

Further, a cell index for each vertex within the meshlet 1004 may beidentified and recorded. For example, a cell location of each vertex maybe logged. Table 4 includes an exemplary cell index representationcorresponding to the polygon meshlet 704A, in accordance with anembodiment. Of course, it should be noted that the cell indexrepresentation shown in Table 4 is set forth for illustrative purposesonly, and thus should not be construed as limiting in any manner.

TABLE 4 Vertex Buffer Cell Index v0 −1 //undefined  v1 −1 //undefined v2 −1 // undefined v3 0 v4 0 v5 0 v6 1 v7 −1 // undefined v8 3 v9 2

Further still, a vertex index with minimal error may be determinedwithin each of the four cells 1002A-D in parallel, and the resultingindices may be written into a buffer. For purposes of example, assumethat, as represented by simplified polygon meshlet 704C of FIG. 7 , asimplified polygon meshlet 704C is produced for the first cell 1002A byreplacing an index of each vertex of an intermediary polygon meshlet704B that remains in the first cell 1002A with an index of a chosenrepresentative vertex 706 (here, vertex 3). This may result in an indexbuffer representation shown in Table 3.

Also, in one embodiment, a plurality of threads may go over all verticesof the meshlet 1004 in parallel to and write a cell ID of the vertex.Each thread group may then select one grid cell, and each thread in thegroup picks one triangle that won't collapse. The vertex of the trianglethat is in the grid cell may then be selected, and an error introducedby collapsing all other vertices in the cell to the selected vertex maybe calculated.

In addition, in one embodiment, an atomic min operation may be performedamong the threads of the thread group to find the index of the vertexwith the minimal error across the grid cell, and the index with minimalerror may be stored for the grid cell.

Furthermore, in one embodiment, all threads may go over all triangles inparallel to create a new index buffer. If the current thread deals witha triangle with at least one edge fully inside a grid cell, the triangleis collapsed and nothing is written to the new index. If the currentthread deals with a triangle that straddles the grid boundaries and hasno edge fully in a cell, a new write offset O is obtained in the newindex buffer. Also, a cell ID is found for each of the three vertices ofthe triangle, and the index of the vertex with the minimal error isdetermined and written to the index buffer. If the cell index of thevertex is −1, the original vertex index is written. A final newindex/triangle count may be computed as a result.

Table 5 includes an exemplary cell index analysis corresponding to aparallel implementation, in accordance with an embodiment. Of course, itshould be noted that the cell index analysis shown in Table 5 is setforth for illustrative purposes only, and thus should not be construedas limiting in any manner.

TABLE 5 Index Parallel Out New Buffer Threads #Tri Index Buffer 0, 2, 3,// tri0 t0, // tri0 not collapsed 1 0, 2, 3, // tri0‘ = tri0 0, 3, 1, //tri1 t1, // tri1 not collapsed 1 0, 3, 1, // tri1‘ = tri1 2, 5, 3, //tri2 t2, // tri2 collapsed 0 t2 writes nothing 3, 4, 1, // tri3 t3, //tri3 collapsed 0 t3 writes nothing 5, 4, 3, // tri4 t4, // tri4collapsed 0 t4 writes nothing 4, 6, 1, // tri5 t5, // tri5 not collapsed1 3, 6, 1, // tri2‘ 7, 9, 5, // tri6 t6, // tri6 not collapsed 1 7, 9,3, // tri3‘ 9, 4, 5, // tri 7 t7, // tri 7 collapsed 0 t7 writes nothing9, 8, 4, // tri 8 t8, // tri 8 not collapsed 1 9, 8, 3, // tri4‘ 4, 8,6, // tri9 t9, // tri9 not collapsed 1 3, 8, 6, // tri5‘ 2, 7, 5 // tri10 t10 // tri10 not collapsed 1 3, 6, 1 // tri6‘Hole Triangulation

In one embodiment, if a simplification is to be run on a meshlethardware block, the simplification may need to leave all triangles thatare in the border region (e.g., triangles that straddle the grid border)untouched. As a result, hole triangulation may be performed. FIG. 11illustrates an exemplary hole triangulation process 1100, according toone exemplary embodiment.

As shown, a cell 1102 is first overlaid onto a polygon meshlet 1104A.Additionally, every non-border triangle (e.g., every triangle that doesnot straddle the border of the cell 1102) is discarded to obtain anintermediary polygon meshlet 1104B. Further, the resulting hole isre-triangulated to create a simplified polygon meshlet 1104C, utilizinga chosen representative vertex 1106.

FIG. 12 illustrates an exemplary non-convex hole triangulation process1200, according to one exemplary embodiment. As shown, re-triangulationmay be performed in a polygon meshlet 1202 having a non-convex hole byremoving triangles by edges 1204A-C within the cell 1206 that do notintersect the boundaries of the hole.

In this way, geometry may be simplified utilizing a grid-based approach.Additionally, a level of detail may be adjusted by changing a size ofcells within a grid applied to a polygon mesh. Further, geomorphing maybe performed on a polygon mesh, utilizing a grid-based approach. Furtherstill, meshlet simplification may be performed in parallel. Also, a gridmay be pre-processed before applying it to a polygon mesh.

While various embodiments have been described above, it should beunderstood that they have been presented by way of example only, and notlimitation. Thus, the breadth and scope of a preferred embodiment shouldnot be limited by any of the above-described exemplary embodiments, butshould be defined only in accordance with the following claims and theirequivalents.

What is claimed is:
 1. A system comprising: one or more processing unitsto: overlay a grid of cells onto a plurality of geometric shapes,wherein a cell of the grid overlays a subset of the plurality ofgeometric shapes; modify one or more edges of the geometric shapeswithin the subset based on a location of the one or more edges withrespect to the cell, to create a modified subset, wherein modifying theone or more edges includes rearranging at least a portion of the one ormore edges; and render the modified subset.
 2. The system of claim 1,wherein the subset of the plurality of geometric shapes is representedin two dimensions or three dimensions.
 3. The system of claim 1, whereinthe grid overlays a model that includes the plurality of geometricshapes.
 4. The system of claim 1, wherein modifying one or more edges ofthe geometric shapes within the subset based on a location of the one ormore edges with respect to the cell includes: discarding every geometricshape within the plurality of geometric shapes that has at least oneedge fully inside the cell to create an intermediate subset of geometricshapes.
 5. The system of claim 4, wherein modifying one or more edges ofthe geometric shapes within the subset based on a location of the one ormore edges with respect to the cell further includes: determining aselected vertex from all vertices of the intermediate subset ofgeometric shapes that are located within the cell; and replacing all thevertices of the intermediate subset of geometric shapes that are locatedwithin the cell with the selected vertex to create the modified subset.6. The system of claim 5, wherein the selected vertex is determined fromall vertices of the intermediate subset of geometric shapes that arelocated within the cell based on one or more criteria, the one or morecriteria including minimum error criteria.
 7. The system of claim 5,wherein a vertex that results in a minimum error metric over a surfaceof the subset of the plurality of geometric shapes when used to replaceall other vertices within the cell is selected as the selected vertex.8. The system of claim 5, wherein replacing all the vertices of theintermediate subset of geometric shapes that are located within the cellwith the selected vertex to create the modified subset includesreplacing, within an index buffer, an index of each vertex of theintermediate subset of geometric shapes that remains in the cell withinthe selected vertex.
 9. The system of claim 5, wherein vertices of thesubset of the plurality of geometric shapes are incrementally moved tothe selected vertex over time.
 10. The system of claim 1, wherein a sizeof the cell is adjusted, based on a desired level of detail for thesubset of geometric shapes.
 11. The system of claim 1, wherein aplurality of the cells of the grid are applied to different subsets ofthe plurality of geometric shapes to create modified subsets inparallel.
 12. The system of claim 1, wherein the grid is preprocessed inorder to adapt to the plurality of geometric shapes.
 13. The system ofclaim 1, wherein the plurality of geometric shapes form a mesh.
 14. Thesystem of claim 13, wherein the subset of the plurality of geometricshapes forms a meshlet.
 15. The system of claim 1, wherein eachgeometric shape included in the plurality of geometric shapes is atriangle.
 16. The system of claim 1, wherein each cell in the grid ofcells is a square.
 17. The system of claim 1, wherein the cell is of apredetermined dimension and includes a boundary representative of apixel.
 18. The system of claim 1, wherein modifying the one or moreedges includes removing at least a portion of the one or more edges. 19.The system of claim 1, wherein the modified subset has a level of detailthat is reduced with respect to a level of detail of the subset of theplurality of geometric shapes.
 20. A method comprising: overlaying agrid of cells onto a plurality of geometric shapes, wherein a cell ofthe grid overlays a subset of the plurality of geometric shapes;modifying one or more edges of the geometric shapes within the subsetbased on a location of the one or more edges with respect to the cell,to create a modified subset wherein modifying the one or more edgesincludes rearranging at least a portion of the one or more edges; andrendering the modified subset.
 21. A non-transitory computer-readablemedia storing computer instructions which when executed by one or moreprocessors of a device cause the device to: overlay a grid of cells ontoa plurality of geometric shapes, wherein a cell of the grid overlays asubset of the plurality of geometric shapes; modify one or more edges ofthe geometric shapes within the subset based on a location of the one ormore edges with respect to the cell, to create a modified subset,wherein modifying the one or more edges includes rearranging at least aportion of the one or more edges; and render the modified subset.